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Finding the Third Proportional to 34,844.25 and 55,374

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Solution

The third proportional to 34,844.25 and 55,374 is: 87,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,844.25 : 55,374 = 55,374 : x
  2. Step 2: Convert to fraction form
    34,844.25/55,374 = 55,374/x
  3. Step 3: Cross multiply
    34,844.25x = 55,374 × 55,374
  4. Step 4: Simplify right side
    34,844.25x = 3,066,279,876
  5. Step 5: Solve for x
    x = 3,066,279,876/34,844.25
  6. Step 6: Final answer
    x = 87,999.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.